"We'll meet as part of a series of meetings to map the way forward," Mumble told Sapa on the eve of the team's return to South Africa.
"We'll have to have a discussion with the coach. I have an ongoing engagement with the coach -- I meet him two or three times a week, normally once on a Wednesday."
Mumble has intimated that Safa is still satisfied with Igesund's impact since he took over from Pitso Mosimane.
"All of us are happy with the performance of Gordon and where he has taken this team," he said.
"When he came here in July, you know where that team was and where the team is now. The team is at a high. Unfortunately we didn't deliver early on, either at home or close to home, but nobody can fault the coach.
"You lose one and you don't go through, so I don't think we're unhappy with the coach."
Read more on: Bafana could still qualify for 2014 World Cup
Bafana Bafana may still be handed a lifeline in their attempts to qualify for the 2014 Fifa World Cup in Brazil, as Ethiopia could be docked points by the football governing body for fielding an ineligible player against Bostwana.
Gordon Igesund, speaking to Sapa when Bafana arrived home, was not showing his cards on the matter and says he will wait for the verdict.
“We heard about it this morning and there was talk about it,” the coach told Sapa.
“We've heard the player was suspended and still played a game against Botswana. FIFA are taking action, but that's as much as we know.
“Whatever that result is, it doesn't affect us unless they get docked points and we win the last game [against Botswana] and they lose the last game [away to Central African Republic].”